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formula_6_53

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_53

Formula 6.53 from EN 1992-1-1:2004: Chapter 6 - Ultimate Limit State.

Classes:

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_53.Form6Dot53CheckPunchingShear 

Form6Dot53CheckPunchingShear(
    beta: DIMENSIONLESS, v_ed: N, u_0: MM, d: MM, v_rd_max: MPA
)

Bases: Formula

Class representing formula 6.53 for the check of punching shear resistance.

EN 1992-1-1:2004 art.6.4.5(3) - Formula (6.53)

Parameters:

  • beta (DIMENSIONLESS) –

    [\(\beta\)] See 6.4.3 (3), (4) and (5) [\(-\)].

  • v_ed (N) –

    [\(V_{Ed}\)] Design shear force [\(N\)].

  • u_0 (MM) –

    [\(u_{0}\)] Perimeter of the critical section, differs for interior vs edge vs corner column [\(mm\)].

  • d (MM) –

    [\(d\)] Mean effective depth of the slab [\(mm\)].

  • v_rd_max (MPA) –

    [\(v_{Rd,max}\)] Maximum design shear stress [\(MPa\)].

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_53.py 
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def __init__(
    self,
    beta: DIMENSIONLESS,
    v_ed: N,
    u_0: MM,
    d: MM,
    v_rd_max: MPA,
) -> None:
    super().__init__()
    self.beta = beta
    self.v_ed = v_ed
    self.u_0 = u_0
    self.d = d
    self.v_rd_max = v_rd_max

codes.eurocode.en_1992_1_1_2004.chapter_6_ultimate_limit_state.formula_6_53.Form6Dot53CheckPunchingShear.latex 

latex(n: int = 3) -> LatexFormula

Returns LatexFormula object for formula 6.53.

Source code in blueprints/codes/eurocode/en_1992_1_1_2004/chapter_6_ultimate_limit_state/formula_6_53.py 
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def latex(self, n: int = 3) -> LatexFormula:
    """Returns LatexFormula object for formula 6.53."""
    _equation: str = r"\frac{\beta \cdot V_{Ed}}{u_{0} \cdot d} \leq v_{Rd,max}"
    _numeric_equation: str = latex_replace_symbols(
        _equation,
        {
            r"\beta": f"{self.beta:.{n}f}",
            r"V_{Ed}": f"{self.v_ed:.{n}f}",
            r"u_{0}": f"{self.u_0:.{n}f}",
            r" d": f" {self.d:.{n}f}",
            r"v_{Rd,max}": f"{self.v_rd_max:.{n}f}",
        },
        False,
    )
    return LatexFormula(
        return_symbol=r"CHECK",
        result="OK" if self.__bool__() else r"\text{Not OK}",
        equation=_equation,
        numeric_equation=_numeric_equation,
        comparison_operator_label=r"\to",
        unit="",
    )